⌘+K

Pulse Explore Communities Researchers Journals

Home Communities Explore

February 27, 2024Open Access

Third order estimates and the regularity of the stress field for solutions to p-Laplace equations

Daniel Baratta Berardino Sciunzi Domenico Vuono

View Full Paper

Ask AI

Bookmark

Share

Abstract

We consider solutions to - Δₚ u = f(x) in Ω\, , when p approaches the semilinear limiting case $p=2$ and we get third order estimates. As a consequence we deduce improved regularity properties of the stress field.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Baratta et al. (2024) studied this question.

synapsesocial.com/papers/68e77797b6db6435876ec0e9 https://doi.org/10.48550/arxiv.2402.17566

View Full Paper

Ask AI

Bookmark

Share

Keep reading

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Global second order optimal regularity for the vectorial $p$-Laplacian2025
2Local behaviour of the second order derivatives of solutions to p-Laplace equations2025
3A quantitative second order Sobolev regularity for (inhmogeneous) normalized $p(\cdot)$-Laplace equations2024
4Sharp regularity estimates for $0$-order $p$-Laplacian evolution problems2024
5Second order Sobolev regularity results for the generalized $p$-parabolic equation2024

More related papers

Second order Sobolev regularity for normalized parabolic $p(x)$-Laplace equations via the algebraic structure2024
The asymptotic behaviour of the solutions to widely degenerate p-Laplace equations2024
Sobolev regularity of the symmetric gradient of solutions to a class of ϕ-Laplacian systems2026